[en] Bianchi type VI₀ cosmological model in the presence of the electromagnetic field in the theory of relativity is studied. For the current flow along z-axis, 𝐹₁₂ is the only nonvanishing component of 𝐹_𝑖𝑗 (the magnetic field). An exact solution of the field equations is given by considering the deceleration parameter as a linear function of t in the form 𝑞=−1+𝑚−𝑘𝑡 where m and k are constants. The entropy 𝐒 and the thermodynamic functions (enthalpy, Gibbs energy and Helmholtz energy) of the universe are calculated and studied. Also, physical and geometrical properties of our models are studied. (author)